On surjectivity and dynamical properties of dill maps
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866915317516599296 |
|---|---|
| author | Ramdhane, Firas Ben |
| author_facet | Ramdhane, Firas Ben |
| contents | In this paper, we study certain dynamical properties of dill maps, a class of functions introduced in~\cite{salo2015block} that generalizes both cellular automata and substitutions. In particular, we prove that surjective uniform dill maps are precisely the surjective cellular automata. We also establish a sufficient condition for a dill map to be equicontinuous. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_00960 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On surjectivity and dynamical properties of dill maps Ramdhane, Firas Ben Dynamical Systems Discrete Mathematics In this paper, we study certain dynamical properties of dill maps, a class of functions introduced in~\cite{salo2015block} that generalizes both cellular automata and substitutions. In particular, we prove that surjective uniform dill maps are precisely the surjective cellular automata. We also establish a sufficient condition for a dill map to be equicontinuous. |
| title | On surjectivity and dynamical properties of dill maps |
| topic | Dynamical Systems Discrete Mathematics |
| url | https://arxiv.org/abs/2506.00960 |